Question 1

Solve the equation.    $x^2 - 9x + 18 = 0$

Accepted Answer

{3, 6}

Answer

{-3, -6}

Answer

{3,- 6}

Answer

{-3, 6}

Question 2

Solve the following equation.    $x^2 - 81 = 0$

Accepted Answer

{9, -9}

Answer

{-9}

Answer

{0, -9}

Answer

{9}

Question 3

Solve the equation using square roots.     $(2/3)(x - 1)^2 = 6$

Accepted Answer

{-2, 4}

Answer

{-2}

Answer

{4}

Answer

{2, -4}

Question 4

Solve the following equation.  Look for solutions that are not real and make use of  complex numbers (numbers that include "i") if possible.    $x^2 + 4x + 8 = 0$

Accepted Answer

-2 +/- 2i

Answer

-2 +/- i

Answer

2 +/- 2i

Answer

-2 +/- 4i

Question 5

Simplify the radical.

Accepted Answer

8i√2

Answer

√-128

Answer

8√-2

Answer

4i√2

Question 6

How many solutions does the quadratic have?    $x^2 + 3x + 5 = 0$

Accepted Answer

No real solutions

Answer

1

Answer

2

Answer

Infinite

Question 7

Solve using GCF.     $50x^2 + 10x = 0$

Accepted Answer

{-1/5, 0}

Answer

{1/5, 0}

Answer

{-1/5}

Answer

{0}

Question 8

Simplify the radical.  √125

Accepted Answer

5√5

Answer

25√5

Answer

10

Answer

5

Question 9

Which of the following equations is graphed above.

Accepted Answer

$2(x - 3)^2 + 1$

Answer

$2(x - 3)^2$

Answer

$.5(x - 3)^2 + 1$

Answer

$2(x + 3)^2 + 1$

Question 10

Which ordered pair is a solution to the two graphs?

Accepted Answer

(2,2)

Answer

(0,0)

Answer

(-2, 3)

Answer

(1,1)

Question 11

What happens to f(x) = x^2 + 5x - 10 that has 3 added to the function?

Accepted Answer

Goes up 3.  The new y-intercept is -7.

Answer

It doubles changing the slope to 6.

Answer

It moves left 3 spaces.

Answer

Goes down 3.  The new y-intercept is -13.

Question 12

Choose the inequality that represents the graph above.

Accepted Answer

$y > (x - 3)^2 + 1$

Answer

$y < (x - 1)^2 + 3$

Answer

$y >= (x + 3)^2 + 1$

Answer

$y <= (x -1)^2  + 3$

Question 13

Solve the following system of equations.   $ y = x^2 + 2$  and $y = 2x +2$

Accepted Answer

(0, 2) and (2, 6)

Answer

(0,-2) and (-2, 6)

Answer

(2,6)

Answer

(0,2)

Question 14

A ball is thrown up in the air from a cliff.  The velocity is 25 m/s.  The formula for the height (in feet) of the ball at any given time (in sec) is $-16t^2+25t+130$      What is the initial height of the ball?

Accepted Answer

130 feet

Answer

3.3 feet

Answer

1.06 feet

Answer

139.6 feet

Question 15

Same problem as previous - except now tell me what the highest height is and at what time does the ball reach that height (round to the nearest tenths place);  A ball is thrown up in the air from a cliff.  The velocity is 25 m/s.  The formula for the height (in feet) of the ball at any given time (in sec) is $-16t^2+25t+130$

Accepted Answer

.8 seconds and 139.8 feet

Answer

139.8 seconds and .8 feet

Answer

2.3 seconds  145.3 feet

Answer

2.2 seconds  141.4 feet

Question 16

Same problem.  A ball is thrown up in the air from a cliff.  The velocity is 25 m/s.  The formula for the height (in feet) of the ball at any given time (in sec) is $-16t^2+25t+130$      When does it hit the ground?  Round to the nearest tenths place!

Accepted Answer

3.7 seconds

Answer

4.8 seconds

Answer

4.9 seconds

Answer

3.8 seconds

Question 17

Same scenario.  A ball is thrown up in the air from a cliff.  The velocity is 25 m/s.  The formula for the height (in feet) of the ball at any given time (in sec) is $-16t^2+25t+130$      At what height is the ball at 2 seconds?  State as a whole number.

Accepted Answer

116 feet

Answer

122 feet

Answer

30 feet

Answer

114 feet

Question 18

Same scenario.  A ball is thrown up in the air from a cliff.  The velocity is 25 m/s.  The formula for the height (in feet) of the ball at any given time (in sec) is $-16t^2+25t+130$      At what time is the ball at 90 feet?  Round to the nearest tenths place.

Accepted Answer

2.5 seconds

Answer

2.6 seconds

Answer

4.2 seconds

Answer

4.3 seconds

Question 19

Given the function f(x ) = $x^2 + 10x + 3$ what is the axis of symmetry?

Accepted Answer

x = -5

Answer

x = -10

Answer

x = 10

Answer

x = 5

Question 20

Given the function f(x ) = $x^2 + 10x + 3$ what is the vertex?

Accepted Answer

(-5, -22)

Answer

(-5,22)

Answer

(5,22)

Answer

(5,-22)

Question 21

$3(x - 2)^2 + 4$  What is the axis of symmetry and vertex?

Accepted Answer

x = 2 and (2, 4)

Answer

x = 2 and (2, 3)

Answer

x = 2 and (2, 2)

Answer

x = -2 and (-2, 4)

Question 22

$2(x + 3)^2 - 5$ What is the axis of symmetry and vertex?

Accepted Answer

x = -3  and (-3, -5)

Answer

x = 3  and (3, -5)

Answer

x = 3  and (-3, 5)

Answer

x = -3  and (-3, 5)

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